Three Tri-Automorphic Numbers for each Number of Digits/Examples/4 Digits

Examples of Three Tri-Automorphic Numbers for each Number of Digits

The $3$ tri-automorphic numbers with $4$ digits are:

\(\text {(6667)}: \quad\)

\(\ds 3 \times 6667^2\)

\(=\)

\(\ds 133 \, 34 \mathbf {6 \, 667}\)

\(\text {(6875)}: \quad\)

\(\ds 3 \times 6875^2\)

\(=\)

\(\ds 141 \, 79 \mathbf {6 \, 875}\)

\(\text {(9792)}: \quad\)

\(\ds 3 \times 9792^2\)

\(=\)

\(\ds 287 \, 64 \mathbf {9 \, 792}\)

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $6667$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $6667$